%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG091+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:21:28 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 249
% Syntax : Number of formulae : 1017 ( 225 unt; 245 def)
% Number of atoms : 4535 (2542 equ)
% Maximal formula atoms : 440 ( 4 avg)
% Number of connectives : 5980 (2462 ~;2134 |;1237 &)
% ( 147 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 114 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 247 ( 245 usr; 246 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e0,e4) = e4
& op(e1,e0) = e1
& op(e1,e1) = e0
& op(e1,e2) = e3
& op(e1,e3) = e4
& op(e1,e4) = e2
& op(e2,e0) = e2
& op(e2,e1) = e4
& op(e2,e2) = e0
& op(e2,e3) = e1
& op(e2,e4) = e3
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e4
& op(e3,e3) = e0
& op(e3,e4) = e1
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e2
& op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,conjecture,
( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f5,negated_conjecture,
~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ( e2 = op(e0,e0)
& e0 != op(e0,e2) )
| ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ( e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,definition,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ( e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f105,plain,
( ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e1 = op(e0,e0)
& e0 != op(e0,e1) )
| ( e2 = op(e0,e0)
& e0 != op(e0,e2) )
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f6,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f106,plain,
( ( e3 = op(e0,e0)
& e0 != op(e0,e3) )
| ~ sP97 ),
inference(nnf_transformation,[],[f104]) ).
fof(f107,plain,
( ( e4 = op(e0,e0)
& e0 != op(e0,e4) )
| ~ sP96 ),
inference(nnf_transformation,[],[f103]) ).
fof(f108,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP95 ),
inference(nnf_transformation,[],[f102]) ).
fof(f109,plain,
( ( e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP94 ),
inference(nnf_transformation,[],[f101]) ).
fof(f110,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
inference(nnf_transformation,[],[f100]) ).
fof(f111,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP92 ),
inference(nnf_transformation,[],[f99]) ).
fof(f112,plain,
( ( e4 = op(e1,e1)
& e1 != op(e1,e4) )
| ~ sP91 ),
inference(nnf_transformation,[],[f98]) ).
fof(f113,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP90 ),
inference(nnf_transformation,[],[f97]) ).
fof(f114,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP89 ),
inference(nnf_transformation,[],[f96]) ).
fof(f115,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP88 ),
inference(nnf_transformation,[],[f95]) ).
fof(f116,plain,
( ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f117,plain,
( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f118,plain,
( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f119,plain,
( ( e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f121,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f122,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f123,plain,
( ( e0 = op(e4,e4)
& e4 != op(e4,e0) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f124,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f125,plain,
( ( e2 = op(e4,e4)
& e4 != op(e4,e2) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f126,plain,
( ( e3 = op(e4,e4)
& e4 != op(e4,e3) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f127,plain,
( ( e4 = op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f128,plain,
( ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0)
& e4 != op(e0,e0) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f129,plain,
( ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e4 != op(e0,e1) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f130,plain,
( ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e4 != op(e0,e2) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f131,plain,
( ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3)
& e4 != op(e0,e3) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f132,plain,
( ( e0 != op(e0,e4)
& e1 != op(e0,e4)
& e2 != op(e0,e4)
& e3 != op(e0,e4)
& e4 != op(e0,e4) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f133,plain,
( ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e4 != op(e1,e0) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f134,plain,
( ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1)
& e4 != op(e1,e1) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f135,plain,
( ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f136,plain,
( ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f137,plain,
( ( e0 != op(e1,e4)
& e1 != op(e1,e4)
& e2 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f138,plain,
( ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0)
& e4 != op(e2,e0) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f139,plain,
( ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1)
& e4 != op(e2,e1) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f140,plain,
( ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2)
& e4 != op(e2,e2) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f141,plain,
( ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e4 != op(e2,e3) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f142,plain,
( ( e0 != op(e2,e4)
& e1 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4)
& e4 != op(e2,e4) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f143,plain,
( ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0)
& e4 != op(e3,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f144,plain,
( ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f145,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e4 != op(e3,e2) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f146,plain,
( ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f147,plain,
( ( e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e3 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f148,plain,
( ( e0 != op(e4,e0)
& e1 != op(e4,e0)
& e2 != op(e4,e0)
& e3 != op(e4,e0)
& e4 != op(e4,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f149,plain,
( ( e0 != op(e4,e1)
& e1 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e4 != op(e4,e1) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f150,plain,
( ( e0 != op(e4,e2)
& e1 != op(e4,e2)
& e2 != op(e4,e2)
& e3 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f151,plain,
( ( e0 != op(e4,e3)
& e1 != op(e4,e3)
& e2 != op(e4,e3)
& e3 != op(e4,e3)
& e4 != op(e4,e3) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f152,plain,
( ( e0 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e3 != op(e4,e4)
& e4 != op(e4,e4) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f153,plain,
( ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit
& e4 != unit )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f154,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e1)
& e0 != op(e0,e2)
& e0 != op(e0,e3)
& e0 != op(e0,e4) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f155,plain,
( ( e0 != op(e0,e0)
& e0 != op(e1,e0)
& e0 != op(e2,e0)
& e0 != op(e3,e0)
& e0 != op(e4,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f156,plain,
( ( e1 != op(e0,e0)
& e1 != op(e0,e1)
& e1 != op(e0,e2)
& e1 != op(e0,e3)
& e1 != op(e0,e4) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f157,plain,
( ( e1 != op(e0,e0)
& e1 != op(e1,e0)
& e1 != op(e2,e0)
& e1 != op(e3,e0)
& e1 != op(e4,e0) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f158,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e1)
& e2 != op(e0,e2)
& e2 != op(e0,e3)
& e2 != op(e0,e4) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f159,plain,
( ( e2 != op(e0,e0)
& e2 != op(e1,e0)
& e2 != op(e2,e0)
& e2 != op(e3,e0)
& e2 != op(e4,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f160,plain,
( ( e3 != op(e0,e0)
& e3 != op(e0,e1)
& e3 != op(e0,e2)
& e3 != op(e0,e3)
& e3 != op(e0,e4) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f161,plain,
( ( e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e2,e0)
& e3 != op(e3,e0)
& e3 != op(e4,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f162,plain,
( ( e4 != op(e0,e0)
& e4 != op(e0,e1)
& e4 != op(e0,e2)
& e4 != op(e0,e3)
& e4 != op(e0,e4) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f163,plain,
( ( e4 != op(e0,e0)
& e4 != op(e1,e0)
& e4 != op(e2,e0)
& e4 != op(e3,e0)
& e4 != op(e4,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f164,plain,
( ( e0 != op(e1,e0)
& e0 != op(e1,e1)
& e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e4) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f165,plain,
( ( e0 != op(e0,e1)
& e0 != op(e1,e1)
& e0 != op(e2,e1)
& e0 != op(e3,e1)
& e0 != op(e4,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f166,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e1)
& e1 != op(e1,e2)
& e1 != op(e1,e3)
& e1 != op(e1,e4) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f167,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e2,e1)
& e1 != op(e3,e1)
& e1 != op(e4,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f168,plain,
( ( e2 != op(e1,e0)
& e2 != op(e1,e1)
& e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e4) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f169,plain,
( ( e2 != op(e0,e1)
& e2 != op(e1,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e4,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f170,plain,
( ( e3 != op(e1,e0)
& e3 != op(e1,e1)
& e3 != op(e1,e2)
& e3 != op(e1,e3)
& e3 != op(e1,e4) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f171,plain,
( ( e3 != op(e0,e1)
& e3 != op(e1,e1)
& e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e4,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f172,plain,
( ( e4 != op(e1,e0)
& e4 != op(e1,e1)
& e4 != op(e1,e2)
& e4 != op(e1,e3)
& e4 != op(e1,e4) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f173,plain,
( ( e4 != op(e0,e1)
& e4 != op(e1,e1)
& e4 != op(e2,e1)
& e4 != op(e3,e1)
& e4 != op(e4,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f174,plain,
( ( e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e2)
& e0 != op(e2,e3)
& e0 != op(e2,e4) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f175,plain,
( ( e0 != op(e0,e2)
& e0 != op(e1,e2)
& e0 != op(e2,e2)
& e0 != op(e3,e2)
& e0 != op(e4,e2) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f176,plain,
( ( e1 != op(e2,e0)
& e1 != op(e2,e1)
& e1 != op(e2,e2)
& e1 != op(e2,e3)
& e1 != op(e2,e4) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f177,plain,
( ( e1 != op(e0,e2)
& e1 != op(e1,e2)
& e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e4,e2) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f178,plain,
( ( e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2)
& e2 != op(e2,e3)
& e2 != op(e2,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f179,plain,
( ( e2 != op(e0,e2)
& e2 != op(e1,e2)
& e2 != op(e2,e2)
& e2 != op(e3,e2)
& e2 != op(e4,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f180,plain,
( ( e3 != op(e2,e0)
& e3 != op(e2,e1)
& e3 != op(e2,e2)
& e3 != op(e2,e3)
& e3 != op(e2,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f181,plain,
( ( e3 != op(e0,e2)
& e3 != op(e1,e2)
& e3 != op(e2,e2)
& e3 != op(e3,e2)
& e3 != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f182,plain,
( ( e4 != op(e2,e0)
& e4 != op(e2,e1)
& e4 != op(e2,e2)
& e4 != op(e2,e3)
& e4 != op(e2,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f183,plain,
( ( e4 != op(e0,e2)
& e4 != op(e1,e2)
& e4 != op(e2,e2)
& e4 != op(e3,e2)
& e4 != op(e4,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f184,plain,
( ( e0 != op(e3,e0)
& e0 != op(e3,e1)
& e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f185,plain,
( ( e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e2,e3)
& e0 != op(e3,e3)
& e0 != op(e4,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f186,plain,
( ( e1 != op(e3,e0)
& e1 != op(e3,e1)
& e1 != op(e3,e2)
& e1 != op(e3,e3)
& e1 != op(e3,e4) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f187,plain,
( ( e1 != op(e0,e3)
& e1 != op(e1,e3)
& e1 != op(e2,e3)
& e1 != op(e3,e3)
& e1 != op(e4,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f188,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e1)
& e2 != op(e3,e2)
& e2 != op(e3,e3)
& e2 != op(e3,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f189,plain,
( ( e2 != op(e0,e3)
& e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e3,e3)
& e2 != op(e4,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f190,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e1)
& e3 != op(e3,e2)
& e3 != op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f191,plain,
( ( e3 != op(e0,e3)
& e3 != op(e1,e3)
& e3 != op(e2,e3)
& e3 != op(e3,e3)
& e3 != op(e4,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f192,plain,
( ( e4 != op(e3,e0)
& e4 != op(e3,e1)
& e4 != op(e3,e2)
& e4 != op(e3,e3)
& e4 != op(e3,e4) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f193,plain,
( ( e4 != op(e0,e3)
& e4 != op(e1,e3)
& e4 != op(e2,e3)
& e4 != op(e3,e3)
& e4 != op(e4,e3) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f194,plain,
( ( e0 != op(e4,e0)
& e0 != op(e4,e1)
& e0 != op(e4,e2)
& e0 != op(e4,e3)
& e0 != op(e4,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f195,plain,
( ( e0 != op(e0,e4)
& e0 != op(e1,e4)
& e0 != op(e2,e4)
& e0 != op(e3,e4)
& e0 != op(e4,e4) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f196,plain,
( ( e1 != op(e4,e0)
& e1 != op(e4,e1)
& e1 != op(e4,e2)
& e1 != op(e4,e3)
& e1 != op(e4,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f197,plain,
( ( e1 != op(e0,e4)
& e1 != op(e1,e4)
& e1 != op(e2,e4)
& e1 != op(e3,e4)
& e1 != op(e4,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f198,plain,
( ( e2 != op(e4,e0)
& e2 != op(e4,e1)
& e2 != op(e4,e2)
& e2 != op(e4,e3)
& e2 != op(e4,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f199,plain,
( ( e2 != op(e0,e4)
& e2 != op(e1,e4)
& e2 != op(e2,e4)
& e2 != op(e3,e4)
& e2 != op(e4,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f200,plain,
( ( e3 != op(e4,e0)
& e3 != op(e4,e1)
& e3 != op(e4,e2)
& e3 != op(e4,e3)
& e3 != op(e4,e4) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f201,plain,
( ( e3 != op(e0,e4)
& e3 != op(e1,e4)
& e3 != op(e2,e4)
& e3 != op(e3,e4)
& e3 != op(e4,e4) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f202,plain,
( ( e4 != op(e4,e0)
& e4 != op(e4,e1)
& e4 != op(e4,e2)
& e4 != op(e4,e3)
& e4 != op(e4,e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f203,plain,
( ( e4 != op(e0,e4)
& e4 != op(e1,e4)
& e4 != op(e2,e4)
& e4 != op(e3,e4)
& e4 != op(e4,e4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f210,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f211,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f212,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f213,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f214,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
( e3 = op(e0,e0)
| ~ sP97 ),
inference(cnf_transformation,[],[f106]) ).
fof(f243,plain,
( e4 = op(e0,e0)
| ~ sP96 ),
inference(cnf_transformation,[],[f107]) ).
fof(f244,plain,
( e1 != op(e1,e0)
| ~ sP95 ),
inference(cnf_transformation,[],[f108]) ).
fof(f246,plain,
( e1 != op(e1,e1)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f247,plain,
( e1 = op(e1,e1)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f249,plain,
( e2 = op(e1,e1)
| ~ sP93 ),
inference(cnf_transformation,[],[f110]) ).
fof(f251,plain,
( e3 = op(e1,e1)
| ~ sP92 ),
inference(cnf_transformation,[],[f111]) ).
fof(f253,plain,
( e4 = op(e1,e1)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f254,plain,
( e2 != op(e2,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f113]) ).
fof(f257,plain,
( e1 = op(e2,e2)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f258,plain,
( e2 != op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f259,plain,
( e2 = op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f261,plain,
( e3 = op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f116]) ).
fof(f263,plain,
( e4 = op(e2,e2)
| ~ sP86 ),
inference(cnf_transformation,[],[f117]) ).
fof(f264,plain,
( e3 != op(e3,e0)
| ~ sP85 ),
inference(cnf_transformation,[],[f118]) ).
fof(f267,plain,
( e1 = op(e3,e3)
| ~ sP84 ),
inference(cnf_transformation,[],[f119]) ).
fof(f269,plain,
( e2 = op(e3,e3)
| ~ sP83 ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
( e3 != op(e3,e3)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f271,plain,
( e3 = op(e3,e3)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f273,plain,
( e4 = op(e3,e3)
| ~ sP81 ),
inference(cnf_transformation,[],[f122]) ).
fof(f274,plain,
( e4 != op(e4,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f123]) ).
fof(f277,plain,
( e1 = op(e4,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f124]) ).
fof(f279,plain,
( e2 = op(e4,e4)
| ~ sP78 ),
inference(cnf_transformation,[],[f125]) ).
fof(f281,plain,
( e3 = op(e4,e4)
| ~ sP77 ),
inference(cnf_transformation,[],[f126]) ).
fof(f282,plain,
( e4 != op(e4,e4)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f283,plain,
( e4 = op(e4,e4)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f288,plain,
( e0 != op(e0,e0)
| ~ sP75 ),
inference(cnf_transformation,[],[f128]) ).
fof(f292,plain,
( e1 != op(e0,e1)
| ~ sP74 ),
inference(cnf_transformation,[],[f129]) ).
fof(f296,plain,
( e2 != op(e0,e2)
| ~ sP73 ),
inference(cnf_transformation,[],[f130]) ).
fof(f300,plain,
( e3 != op(e0,e3)
| ~ sP72 ),
inference(cnf_transformation,[],[f131]) ).
fof(f304,plain,
( e4 != op(e0,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f132]) ).
fof(f312,plain,
( e1 != op(e1,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f133]) ).
fof(f318,plain,
( e0 != op(e1,e1)
| ~ sP69 ),
inference(cnf_transformation,[],[f134]) ).
fof(f320,plain,
( e3 != op(e1,e2)
| ~ sP68 ),
inference(cnf_transformation,[],[f135]) ).
fof(f324,plain,
( e4 != op(e1,e3)
| ~ sP67 ),
inference(cnf_transformation,[],[f136]) ).
fof(f331,plain,
( e2 != op(e1,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f137]) ).
fof(f336,plain,
( e2 != op(e2,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f138]) ).
fof(f339,plain,
( e4 != op(e2,e1)
| ~ sP64 ),
inference(cnf_transformation,[],[f139]) ).
fof(f348,plain,
( e0 != op(e2,e2)
| ~ sP63 ),
inference(cnf_transformation,[],[f140]) ).
fof(f352,plain,
( e1 != op(e2,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f141]) ).
fof(f355,plain,
( e3 != op(e2,e4)
| ~ sP61 ),
inference(cnf_transformation,[],[f142]) ).
fof(f360,plain,
( e3 != op(e3,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f143]) ).
fof(f366,plain,
( e2 != op(e3,e1)
| ~ sP59 ),
inference(cnf_transformation,[],[f144]) ).
fof(f369,plain,
( e4 != op(e3,e2)
| ~ sP58 ),
inference(cnf_transformation,[],[f145]) ).
fof(f378,plain,
( e0 != op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f146]) ).
fof(f382,plain,
( e1 != op(e3,e4)
| ~ sP56 ),
inference(cnf_transformation,[],[f147]) ).
fof(f384,plain,
( e4 != op(e4,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f148]) ).
fof(f390,plain,
( e3 != op(e4,e1)
| ~ sP54 ),
inference(cnf_transformation,[],[f149]) ).
fof(f397,plain,
( e1 != op(e4,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f150]) ).
fof(f401,plain,
( e2 != op(e4,e3)
| ~ sP52 ),
inference(cnf_transformation,[],[f151]) ).
fof(f408,plain,
( e0 != op(e4,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f152]) ).
fof(f413,plain,
( e0 != unit
| ~ sP50 ),
inference(cnf_transformation,[],[f153]) ).
fof(f418,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f154]) ).
fof(f423,plain,
( e0 != op(e0,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f155]) ).
fof(f427,plain,
( e1 != op(e0,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f156]) ).
fof(f432,plain,
( e1 != op(e1,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f157]) ).
fof(f436,plain,
( e2 != op(e0,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f158]) ).
fof(f441,plain,
( e2 != op(e2,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f159]) ).
fof(f445,plain,
( e3 != op(e0,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f160]) ).
fof(f450,plain,
( e3 != op(e3,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f161]) ).
fof(f454,plain,
( e4 != op(e0,e4)
| ~ sP41 ),
inference(cnf_transformation,[],[f162]) ).
fof(f459,plain,
( e4 != op(e4,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f163]) ).
fof(f467,plain,
( e0 != op(e1,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f164]) ).
fof(f472,plain,
( e0 != op(e1,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f165]) ).
fof(f478,plain,
( e1 != op(e1,e0)
| ~ sP37 ),
inference(cnf_transformation,[],[f166]) ).
fof(f483,plain,
( e1 != op(e0,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f167]) ).
fof(f484,plain,
( e2 != op(e1,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f168]) ).
fof(f490,plain,
( e2 != op(e3,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f169]) ).
fof(f496,plain,
( e3 != op(e1,e2)
| ~ sP33 ),
inference(cnf_transformation,[],[f170]) ).
fof(f499,plain,
( e3 != op(e4,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f171]) ).
fof(f505,plain,
( e4 != op(e1,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f172]) ).
fof(f511,plain,
( e4 != op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f173]) ).
fof(f516,plain,
( e0 != op(e2,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f174]) ).
fof(f521,plain,
( e0 != op(e2,e2)
| ~ sP28 ),
inference(cnf_transformation,[],[f175]) ).
fof(f525,plain,
( e1 != op(e2,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f176]) ).
fof(f529,plain,
( e1 != op(e4,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f177]) ).
fof(f538,plain,
( e2 != op(e2,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f178]) ).
fof(f543,plain,
( e2 != op(e0,e2)
| ~ sP24 ),
inference(cnf_transformation,[],[f179]) ).
fof(f544,plain,
( e3 != op(e2,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f180]) ).
fof(f552,plain,
( e3 != op(e1,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f181]) ).
fof(f557,plain,
( e4 != op(e2,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f182]) ).
fof(f560,plain,
( e4 != op(e3,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f183]) ).
fof(f565,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f184]) ).
fof(f570,plain,
( e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f185]) ).
fof(f574,plain,
( e1 != op(e3,e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f186]) ).
fof(f581,plain,
( e1 != op(e2,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f187]) ).
fof(f587,plain,
( e2 != op(e3,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f188]) ).
fof(f589,plain,
( e2 != op(e4,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f189]) ).
fof(f598,plain,
( e3 != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f190]) ).
fof(f603,plain,
( e3 != op(e0,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f191]) ).
fof(f606,plain,
( e4 != op(e3,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f192]) ).
fof(f612,plain,
( e4 != op(e1,e3)
| ~ sP10 ),
inference(cnf_transformation,[],[f193]) ).
fof(f614,plain,
( e0 != op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f194]) ).
fof(f619,plain,
( e0 != op(e4,e4)
| ~ sP8 ),
inference(cnf_transformation,[],[f195]) ).
fof(f626,plain,
( e1 != op(e4,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f630,plain,
( e1 != op(e3,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f197]) ).
fof(f635,plain,
( e2 != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f198]) ).
fof(f642,plain,
( e2 != op(e1,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f647,plain,
( e3 != op(e4,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f200]) ).
fof(f651,plain,
( e3 != op(e2,e4)
| ~ sP2 ),
inference(cnf_transformation,[],[f201]) ).
fof(f658,plain,
( e4 != op(e4,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f202]) ).
fof(f663,plain,
( e4 != op(e0,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f667,plain,
( e0 != op(e0,e0)
| e1 = op(e0,e0)
| e2 = op(e0,e0)
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f672,plain,
e1 != unit,
inference(definition_unfolding,[],[f213,f239]) ).
fof(f673,plain,
e2 != unit,
inference(definition_unfolding,[],[f212,f239]) ).
fof(f674,plain,
e3 != unit,
inference(definition_unfolding,[],[f211,f239]) ).
fof(f675,plain,
e4 != unit,
inference(definition_unfolding,[],[f210,f239]) ).
fof(f676,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f238,f239,f239,f239]) ).
fof(f677,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f237,f239]) ).
fof(f678,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f236,f239]) ).
fof(f679,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f235,f239]) ).
fof(f680,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f234,f239]) ).
fof(f681,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f233,f239]) ).
fof(f682,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f232,f239]) ).
fof(f683,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f228,f239]) ).
fof(f684,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f226,f239]) ).
fof(f685,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f223,f239]) ).
fof(f686,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f220,f239]) ).
fof(f687,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f218,f239]) ).
fof(f688,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f214,f239]) ).
fof(f689,plain,
( e3 = op(unit,unit)
| ~ sP97 ),
inference(definition_unfolding,[],[f241,f239,f239]) ).
fof(f691,plain,
( e4 = op(unit,unit)
| ~ sP96 ),
inference(definition_unfolding,[],[f243,f239,f239]) ).
fof(f694,plain,
( e1 != op(e1,unit)
| ~ sP95 ),
inference(definition_unfolding,[],[f244,f239]) ).
fof(f696,plain,
( e2 != op(e2,unit)
| ~ sP90 ),
inference(definition_unfolding,[],[f254,f239]) ).
fof(f698,plain,
( e3 != op(e3,unit)
| ~ sP85 ),
inference(definition_unfolding,[],[f264,f239]) ).
fof(f700,plain,
( e4 != op(e4,unit)
| ~ sP80 ),
inference(definition_unfolding,[],[f274,f239]) ).
fof(f701,plain,
( unit != op(unit,unit)
| ~ sP75 ),
inference(definition_unfolding,[],[f288,f239,f239,f239]) ).
fof(f707,plain,
( e1 != op(unit,e1)
| ~ sP74 ),
inference(definition_unfolding,[],[f292,f239]) ).
fof(f713,plain,
( e2 != op(unit,e2)
| ~ sP73 ),
inference(definition_unfolding,[],[f296,f239]) ).
fof(f719,plain,
( e3 != op(unit,e3)
| ~ sP72 ),
inference(definition_unfolding,[],[f300,f239]) ).
fof(f725,plain,
( e4 != op(unit,e4)
| ~ sP71 ),
inference(definition_unfolding,[],[f304,f239]) ).
fof(f727,plain,
( e1 != op(e1,unit)
| ~ sP70 ),
inference(definition_unfolding,[],[f312,f239]) ).
fof(f731,plain,
( op(e1,e1) != unit
| ~ sP69 ),
inference(definition_unfolding,[],[f318,f239]) ).
fof(f737,plain,
( e2 != op(e2,unit)
| ~ sP65 ),
inference(definition_unfolding,[],[f336,f239]) ).
fof(f741,plain,
( op(e2,e2) != unit
| ~ sP63 ),
inference(definition_unfolding,[],[f348,f239]) ).
fof(f747,plain,
( e3 != op(e3,unit)
| ~ sP60 ),
inference(definition_unfolding,[],[f360,f239]) ).
fof(f751,plain,
( op(e3,e3) != unit
| ~ sP57 ),
inference(definition_unfolding,[],[f378,f239]) ).
fof(f757,plain,
( e4 != op(e4,unit)
| ~ sP55 ),
inference(definition_unfolding,[],[f384,f239]) ).
fof(f761,plain,
( op(e4,e4) != unit
| ~ sP51 ),
inference(definition_unfolding,[],[f408,f239]) ).
fof(f762,plain,
( unit != unit
| ~ sP50 ),
inference(definition_unfolding,[],[f413,f239]) ).
fof(f763,plain,
( unit != op(unit,unit)
| ~ sP49 ),
inference(definition_unfolding,[],[f418,f239,f239,f239]) ).
fof(f768,plain,
( unit != op(unit,unit)
| ~ sP48 ),
inference(definition_unfolding,[],[f423,f239,f239,f239]) ).
fof(f774,plain,
( e1 != op(unit,e1)
| ~ sP47 ),
inference(definition_unfolding,[],[f427,f239]) ).
fof(f779,plain,
( e1 != op(e1,unit)
| ~ sP46 ),
inference(definition_unfolding,[],[f432,f239]) ).
fof(f785,plain,
( e2 != op(unit,e2)
| ~ sP45 ),
inference(definition_unfolding,[],[f436,f239]) ).
fof(f790,plain,
( e2 != op(e2,unit)
| ~ sP44 ),
inference(definition_unfolding,[],[f441,f239]) ).
fof(f796,plain,
( e3 != op(unit,e3)
| ~ sP43 ),
inference(definition_unfolding,[],[f445,f239]) ).
fof(f801,plain,
( e3 != op(e3,unit)
| ~ sP42 ),
inference(definition_unfolding,[],[f450,f239]) ).
fof(f807,plain,
( e4 != op(unit,e4)
| ~ sP41 ),
inference(definition_unfolding,[],[f454,f239]) ).
fof(f812,plain,
( e4 != op(e4,unit)
| ~ sP40 ),
inference(definition_unfolding,[],[f459,f239]) ).
fof(f814,plain,
( op(e1,e1) != unit
| ~ sP39 ),
inference(definition_unfolding,[],[f467,f239]) ).
fof(f819,plain,
( op(e1,e1) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f472,f239]) ).
fof(f823,plain,
( e1 != op(e1,unit)
| ~ sP37 ),
inference(definition_unfolding,[],[f478,f239]) ).
fof(f824,plain,
( e1 != op(unit,e1)
| ~ sP36 ),
inference(definition_unfolding,[],[f483,f239]) ).
fof(f833,plain,
( op(e2,e2) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f516,f239]) ).
fof(f838,plain,
( op(e2,e2) != unit
| ~ sP28 ),
inference(definition_unfolding,[],[f521,f239]) ).
fof(f843,plain,
( e2 != op(e2,unit)
| ~ sP25 ),
inference(definition_unfolding,[],[f538,f239]) ).
fof(f844,plain,
( e2 != op(unit,e2)
| ~ sP24 ),
inference(definition_unfolding,[],[f543,f239]) ).
fof(f852,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(definition_unfolding,[],[f565,f239]) ).
fof(f857,plain,
( op(e3,e3) != unit
| ~ sP18 ),
inference(definition_unfolding,[],[f570,f239]) ).
fof(f863,plain,
( e3 != op(e3,unit)
| ~ sP13 ),
inference(definition_unfolding,[],[f598,f239]) ).
fof(f864,plain,
( e3 != op(unit,e3)
| ~ sP12 ),
inference(definition_unfolding,[],[f603,f239]) ).
fof(f871,plain,
( op(e4,e4) != unit
| ~ sP9 ),
inference(definition_unfolding,[],[f614,f239]) ).
fof(f876,plain,
( op(e4,e4) != unit
| ~ sP8 ),
inference(definition_unfolding,[],[f619,f239]) ).
fof(f883,plain,
( e4 != op(e4,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f658,f239]) ).
fof(f884,plain,
( e4 != op(unit,e4)
| ~ sP0 ),
inference(definition_unfolding,[],[f663,f239]) ).
fof(f889,plain,
( unit != op(unit,unit)
| e1 = op(unit,unit)
| e2 = op(unit,unit)
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| unit != op(unit,unit)
| unit != op(unit,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_unfolding,[],[f667,f239,f239,f239,f239,f239,f239,f239,f239,f239,f239,f239]) ).
fof(f896,plain,
( unit != op(unit,unit)
| e1 = op(unit,unit)
| e2 = op(unit,unit)
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| e4 != op(unit,e4)
| e4 != op(e4,unit)
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(duplicate_literal_removal,[],[f889]) ).
fof(f901,plain,
~ sP50,
inference(trivial_inequality_removal,[],[f762]) ).
fof(f903,definition,
( spl98_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl98_1])],[avatar_definition]) ).
fof(f907,definition,
( spl98_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl98_2])],[avatar_definition]) ).
fof(f911,definition,
( spl98_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl98_3])],[avatar_definition]) ).
fof(f915,definition,
( spl98_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl98_4])],[avatar_definition]) ).
fof(f919,definition,
( spl98_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl98_5])],[avatar_definition]) ).
fof(f923,definition,
( spl98_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl98_6])],[avatar_definition]) ).
fof(f927,definition,
( spl98_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl98_7])],[avatar_definition]) ).
fof(f931,definition,
( spl98_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl98_8])],[avatar_definition]) ).
fof(f935,definition,
( spl98_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl98_9])],[avatar_definition]) ).
fof(f939,definition,
( spl98_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl98_10])],[avatar_definition]) ).
fof(f943,definition,
( spl98_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl98_11])],[avatar_definition]) ).
fof(f947,definition,
( spl98_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl98_12])],[avatar_definition]) ).
fof(f951,definition,
( spl98_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl98_13])],[avatar_definition]) ).
fof(f955,definition,
( spl98_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl98_14])],[avatar_definition]) ).
fof(f959,definition,
( spl98_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl98_15])],[avatar_definition]) ).
fof(f963,definition,
( spl98_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl98_16])],[avatar_definition]) ).
fof(f967,definition,
( spl98_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl98_17])],[avatar_definition]) ).
fof(f971,definition,
( spl98_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl98_18])],[avatar_definition]) ).
fof(f975,definition,
( spl98_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl98_19])],[avatar_definition]) ).
fof(f979,definition,
( spl98_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl98_20])],[avatar_definition]) ).
fof(f983,definition,
( spl98_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl98_21])],[avatar_definition]) ).
fof(f987,definition,
( spl98_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl98_22])],[avatar_definition]) ).
fof(f991,definition,
( spl98_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl98_23])],[avatar_definition]) ).
fof(f995,definition,
( spl98_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl98_24])],[avatar_definition]) ).
fof(f999,definition,
( spl98_25
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl98_25])],[avatar_definition]) ).
fof(f1003,definition,
( spl98_26
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl98_26])],[avatar_definition]) ).
fof(f1007,definition,
( spl98_27
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl98_27])],[avatar_definition]) ).
fof(f1011,definition,
( spl98_28
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl98_28])],[avatar_definition]) ).
fof(f1015,definition,
( spl98_29
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl98_29])],[avatar_definition]) ).
fof(f1019,definition,
( spl98_30
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl98_30])],[avatar_definition]) ).
fof(f1023,definition,
( spl98_31
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl98_31])],[avatar_definition]) ).
fof(f1027,definition,
( spl98_32
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl98_32])],[avatar_definition]) ).
fof(f1031,definition,
( spl98_33
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl98_33])],[avatar_definition]) ).
fof(f1035,definition,
( spl98_34
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl98_34])],[avatar_definition]) ).
fof(f1039,definition,
( spl98_35
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl98_35])],[avatar_definition]) ).
fof(f1043,definition,
( spl98_36
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl98_36])],[avatar_definition]) ).
fof(f1047,definition,
( spl98_37
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl98_37])],[avatar_definition]) ).
fof(f1051,definition,
( spl98_38
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl98_38])],[avatar_definition]) ).
fof(f1055,definition,
( spl98_39
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl98_39])],[avatar_definition]) ).
fof(f1059,definition,
( spl98_40
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl98_40])],[avatar_definition]) ).
fof(f1063,definition,
( spl98_41
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl98_41])],[avatar_definition]) ).
fof(f1067,definition,
( spl98_42
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl98_42])],[avatar_definition]) ).
fof(f1071,definition,
( spl98_43
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl98_43])],[avatar_definition]) ).
fof(f1075,definition,
( spl98_44
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl98_44])],[avatar_definition]) ).
fof(f1079,definition,
( spl98_45
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl98_45])],[avatar_definition]) ).
fof(f1083,definition,
( spl98_46
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl98_46])],[avatar_definition]) ).
fof(f1087,definition,
( spl98_47
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl98_47])],[avatar_definition]) ).
fof(f1091,definition,
( spl98_48
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl98_48])],[avatar_definition]) ).
fof(f1095,definition,
( spl98_49
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl98_49])],[avatar_definition]) ).
fof(f1099,definition,
( spl98_50
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl98_50])],[avatar_definition]) ).
fof(f1103,definition,
( spl98_51
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl98_51])],[avatar_definition]) ).
fof(f1107,definition,
( spl98_52
<=> e4 = op(e4,unit) ),
introduced(definition,[new_symbols(definition,[spl98_52])],[avatar_definition]) ).
fof(f1111,definition,
( spl98_53
<=> e4 = op(unit,e4) ),
introduced(definition,[new_symbols(definition,[spl98_53])],[avatar_definition]) ).
fof(f1115,definition,
( spl98_54
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl98_54])],[avatar_definition]) ).
fof(f1119,definition,
( spl98_55
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl98_55])],[avatar_definition]) ).
fof(f1123,definition,
( spl98_56
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl98_56])],[avatar_definition]) ).
fof(f1127,definition,
( spl98_57
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl98_57])],[avatar_definition]) ).
fof(f1131,definition,
( spl98_58
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl98_58])],[avatar_definition]) ).
fof(f1135,definition,
( spl98_59
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl98_59])],[avatar_definition]) ).
fof(f1139,definition,
( spl98_60
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl98_60])],[avatar_definition]) ).
fof(f1143,definition,
( spl98_61
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl98_61])],[avatar_definition]) ).
fof(f1147,definition,
( spl98_62
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl98_62])],[avatar_definition]) ).
fof(f1151,definition,
( spl98_63
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl98_63])],[avatar_definition]) ).
fof(f1155,definition,
( spl98_64
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl98_64])],[avatar_definition]) ).
fof(f1159,definition,
( spl98_65
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl98_65])],[avatar_definition]) ).
fof(f1163,definition,
( spl98_66
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl98_66])],[avatar_definition]) ).
fof(f1167,definition,
( spl98_67
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl98_67])],[avatar_definition]) ).
fof(f1171,definition,
( spl98_68
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl98_68])],[avatar_definition]) ).
fof(f1175,definition,
( spl98_69
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl98_69])],[avatar_definition]) ).
fof(f1179,definition,
( spl98_70
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl98_70])],[avatar_definition]) ).
fof(f1183,definition,
( spl98_71
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl98_71])],[avatar_definition]) ).
fof(f1187,definition,
( spl98_72
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl98_72])],[avatar_definition]) ).
fof(f1191,definition,
( spl98_73
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl98_73])],[avatar_definition]) ).
fof(f1195,definition,
( spl98_74
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl98_74])],[avatar_definition]) ).
fof(f1199,definition,
( spl98_75
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl98_75])],[avatar_definition]) ).
fof(f1203,definition,
( spl98_76
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl98_76])],[avatar_definition]) ).
fof(f1207,definition,
( spl98_77
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl98_77])],[avatar_definition]) ).
fof(f1211,definition,
( spl98_78
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl98_78])],[avatar_definition]) ).
fof(f1215,definition,
( spl98_79
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl98_79])],[avatar_definition]) ).
fof(f1219,definition,
( spl98_80
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl98_80])],[avatar_definition]) ).
fof(f1223,definition,
( spl98_81
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl98_81])],[avatar_definition]) ).
fof(f1227,definition,
( spl98_82
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl98_82])],[avatar_definition]) ).
fof(f1231,definition,
( spl98_83
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl98_83])],[avatar_definition]) ).
fof(f1235,definition,
( spl98_84
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl98_84])],[avatar_definition]) ).
fof(f1239,definition,
( spl98_85
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl98_85])],[avatar_definition]) ).
fof(f1243,definition,
( spl98_86
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl98_86])],[avatar_definition]) ).
fof(f1247,definition,
( spl98_87
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl98_87])],[avatar_definition]) ).
fof(f1251,definition,
( spl98_88
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl98_88])],[avatar_definition]) ).
fof(f1255,definition,
( spl98_89
<=> sP80 ),
introduced(definition,[new_symbols(definition,[spl98_89])],[avatar_definition]) ).
fof(f1259,definition,
( spl98_90
<=> sP81 ),
introduced(definition,[new_symbols(definition,[spl98_90])],[avatar_definition]) ).
fof(f1263,definition,
( spl98_91
<=> sP82 ),
introduced(definition,[new_symbols(definition,[spl98_91])],[avatar_definition]) ).
fof(f1267,definition,
( spl98_92
<=> sP83 ),
introduced(definition,[new_symbols(definition,[spl98_92])],[avatar_definition]) ).
fof(f1271,definition,
( spl98_93
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl98_93])],[avatar_definition]) ).
fof(f1275,definition,
( spl98_94
<=> sP85 ),
introduced(definition,[new_symbols(definition,[spl98_94])],[avatar_definition]) ).
fof(f1279,definition,
( spl98_95
<=> sP86 ),
introduced(definition,[new_symbols(definition,[spl98_95])],[avatar_definition]) ).
fof(f1283,definition,
( spl98_96
<=> sP87 ),
introduced(definition,[new_symbols(definition,[spl98_96])],[avatar_definition]) ).
fof(f1287,definition,
( spl98_97
<=> sP88 ),
introduced(definition,[new_symbols(definition,[spl98_97])],[avatar_definition]) ).
fof(f1291,definition,
( spl98_98
<=> sP89 ),
introduced(definition,[new_symbols(definition,[spl98_98])],[avatar_definition]) ).
fof(f1295,definition,
( spl98_99
<=> sP90 ),
introduced(definition,[new_symbols(definition,[spl98_99])],[avatar_definition]) ).
fof(f1299,definition,
( spl98_100
<=> sP91 ),
introduced(definition,[new_symbols(definition,[spl98_100])],[avatar_definition]) ).
fof(f1303,definition,
( spl98_101
<=> sP92 ),
introduced(definition,[new_symbols(definition,[spl98_101])],[avatar_definition]) ).
fof(f1307,definition,
( spl98_102
<=> sP93 ),
introduced(definition,[new_symbols(definition,[spl98_102])],[avatar_definition]) ).
fof(f1311,definition,
( spl98_103
<=> sP94 ),
introduced(definition,[new_symbols(definition,[spl98_103])],[avatar_definition]) ).
fof(f1315,definition,
( spl98_104
<=> sP95 ),
introduced(definition,[new_symbols(definition,[spl98_104])],[avatar_definition]) ).
fof(f1319,definition,
( spl98_105
<=> sP96 ),
introduced(definition,[new_symbols(definition,[spl98_105])],[avatar_definition]) ).
fof(f1323,definition,
( spl98_106
<=> sP97 ),
introduced(definition,[new_symbols(definition,[spl98_106])],[avatar_definition]) ).
fof(f1335,definition,
( spl98_109
<=> unit = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl98_109])],[avatar_definition]) ).
fof(f1336,plain,
( unit = op(unit,unit)
| ~ spl98_109 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1340,definition,
( spl98_110
<=> e2 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl98_110])],[avatar_definition]) ).
fof(f1342,plain,
( e2 = op(unit,unit)
| ~ spl98_110 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1345,definition,
( spl98_111
<=> e1 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl98_111])],[avatar_definition]) ).
fof(f1347,plain,
( e1 = op(unit,unit)
| ~ spl98_111 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1349,plain,
( spl98_1
| spl98_2
| spl98_3
| spl98_4
| spl98_5
| spl98_6
| spl98_7
| spl98_8
| spl98_9
| spl98_10
| spl98_11
| spl98_12
| spl98_13
| spl98_14
| spl98_15
| spl98_16
| spl98_17
| spl98_18
| spl98_19
| spl98_20
| spl98_21
| spl98_22
| spl98_23
| spl98_24
| spl98_25
| spl98_26
| spl98_27
| spl98_28
| spl98_29
| spl98_30
| spl98_31
| spl98_32
| spl98_33
| spl98_34
| spl98_35
| spl98_36
| spl98_37
| spl98_38
| spl98_39
| spl98_40
| spl98_41
| spl98_42
| spl98_43
| spl98_44
| spl98_45
| spl98_46
| spl98_47
| spl98_48
| spl98_49
| spl98_50
| spl98_51
| ~ spl98_52
| ~ spl98_53
| ~ spl98_54
| ~ spl98_55
| ~ spl98_56
| ~ spl98_57
| ~ spl98_58
| ~ spl98_59
| spl98_60
| spl98_61
| spl98_62
| spl98_63
| spl98_64
| spl98_65
| spl98_66
| spl98_67
| spl98_68
| spl98_69
| spl98_70
| spl98_71
| spl98_72
| spl98_73
| spl98_74
| spl98_75
| spl98_76
| spl98_77
| spl98_78
| spl98_79
| spl98_80
| spl98_81
| spl98_82
| spl98_83
| spl98_84
| spl98_85
| spl98_86
| spl98_87
| spl98_88
| spl98_89
| spl98_90
| spl98_91
| spl98_92
| spl98_93
| spl98_94
| spl98_95
| spl98_96
| spl98_97
| spl98_98
| spl98_99
| spl98_100
| spl98_101
| spl98_102
| spl98_103
| spl98_104
| spl98_105
| spl98_106
| spl98_110
| spl98_111
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f896,f1335,f1345,f1340,f1323,f1319,f1315,f1311,f1307,f1303,f1299,f1295,f1291,f1287,f1283,f1279,f1275,f1271,f1267,f1263,f1259,f1255,f1251,f1247,f1243,f1239,f1235,f1231,f1227,f1223,f1219,f1215,f1211,f1207,f1203,f1199,f1195,f1191,f1187,f1183,f1179,f1175,f1171,f1167,f1163,f1159,f1155,f1151,f1147,f1143,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f1011,f1007,f1003,f999,f995,f991,f987,f983,f979,f975,f971,f967,f963,f959,f955,f951,f947,f943,f939,f935,f931,f927,f923,f919,f915,f911,f907,f903]) ).
fof(f1351,definition,
( spl98_112
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_112])],[avatar_definition]) ).
fof(f1370,plain,
( ~ spl98_1
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f884,f1111,f903]) ).
fof(f1387,plain,
( ~ spl98_2
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f883,f1107,f907]) ).
fof(f1389,definition,
( spl98_119
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_119])],[avatar_definition]) ).
fof(f1390,plain,
( e3 = op(e4,e4)
| ~ spl98_119 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1399,definition,
( spl98_121
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl98_121])],[avatar_definition]) ).
fof(f1402,plain,
( ~ spl98_3
| ~ spl98_121 ),
inference(avatar_split_clause,[],[f651,f1399,f911]) ).
fof(f1425,definition,
( spl98_126
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl98_126])],[avatar_definition]) ).
fof(f1428,plain,
( ~ spl98_4
| ~ spl98_126 ),
inference(avatar_split_clause,[],[f647,f1425,f915]) ).
fof(f1435,definition,
( spl98_128
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_128])],[avatar_definition]) ).
fof(f1436,plain,
( e2 = op(e4,e4)
| ~ spl98_128 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1450,definition,
( spl98_131
<=> e2 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl98_131])],[avatar_definition]) ).
fof(f1453,plain,
( ~ spl98_5
| ~ spl98_131 ),
inference(avatar_split_clause,[],[f642,f1450,f919]) ).
fof(f1461,definition,
( spl98_133
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl98_133])],[avatar_definition]) ).
fof(f1464,plain,
( ~ spl98_6
| ~ spl98_133 ),
inference(avatar_split_clause,[],[f635,f1461,f923]) ).
fof(f1481,definition,
( spl98_137
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl98_137])],[avatar_definition]) ).
fof(f1482,plain,
( e1 = op(e4,e4)
| ~ spl98_137 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1486,definition,
( spl98_138
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl98_138])],[avatar_definition]) ).
fof(f1489,plain,
( ~ spl98_7
| ~ spl98_138 ),
inference(avatar_split_clause,[],[f630,f1486,f927]) ).
fof(f1512,definition,
( spl98_143
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl98_143])],[avatar_definition]) ).
fof(f1515,plain,
( ~ spl98_8
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f626,f1512,f931]) ).
fof(f1527,definition,
( spl98_146
<=> op(e4,e4) = unit ),
introduced(definition,[new_symbols(definition,[spl98_146])],[avatar_definition]) ).
fof(f1528,plain,
( op(e4,e4) = unit
| ~ spl98_146 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f1530,plain,
( ~ spl98_9
| ~ spl98_146 ),
inference(avatar_split_clause,[],[f876,f1527,f935]) ).
fof(f1551,plain,
( ~ spl98_10
| ~ spl98_146 ),
inference(avatar_split_clause,[],[f871,f1527,f939]) ).
fof(f1574,definition,
( spl98_155
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_155])],[avatar_definition]) ).
fof(f1575,plain,
( e4 = op(e3,e3)
| ~ spl98_155 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1584,definition,
( spl98_157
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl98_157])],[avatar_definition]) ).
fof(f1587,plain,
( ~ spl98_11
| ~ spl98_157 ),
inference(avatar_split_clause,[],[f612,f1584,f943]) ).
fof(f1596,definition,
( spl98_159
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl98_159])],[avatar_definition]) ).
fof(f1599,plain,
( ~ spl98_12
| ~ spl98_159 ),
inference(avatar_split_clause,[],[f606,f1596,f947]) ).
fof(f1612,definition,
( spl98_162
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_162])],[avatar_definition]) ).
fof(f1626,plain,
( ~ spl98_13
| ~ spl98_55 ),
inference(avatar_split_clause,[],[f864,f1119,f951]) ).
fof(f1639,plain,
( ~ spl98_14
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f863,f1115,f955]) ).
fof(f1640,plain,
( ~ spl98_15
| ~ spl98_133 ),
inference(avatar_split_clause,[],[f589,f1461,f959]) ).
fof(f1642,definition,
( spl98_167
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_167])],[avatar_definition]) ).
fof(f1643,plain,
( e2 = op(e3,e3)
| ~ spl98_167 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1669,definition,
( spl98_172
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl98_172])],[avatar_definition]) ).
fof(f1672,plain,
( ~ spl98_16
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f587,f1669,f963]) ).
fof(f1680,definition,
( spl98_174
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl98_174])],[avatar_definition]) ).
fof(f1681,plain,
( e1 = op(e3,e3)
| ~ spl98_174 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1685,definition,
( spl98_175
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl98_175])],[avatar_definition]) ).
fof(f1688,plain,
( ~ spl98_17
| ~ spl98_175 ),
inference(avatar_split_clause,[],[f581,f1685,f967]) ).
fof(f1699,plain,
( ~ spl98_18
| ~ spl98_138 ),
inference(avatar_split_clause,[],[f574,f1486,f971]) ).
fof(f1718,definition,
( spl98_181
<=> op(e3,e3) = unit ),
introduced(definition,[new_symbols(definition,[spl98_181])],[avatar_definition]) ).
fof(f1719,plain,
( op(e3,e3) = unit
| ~ spl98_181 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1721,plain,
( ~ spl98_19
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f857,f1718,f975]) ).
fof(f1738,plain,
( ~ spl98_20
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f852,f1718,f979]) ).
fof(f1755,plain,
( ~ spl98_21
| ~ spl98_159 ),
inference(avatar_split_clause,[],[f560,f1596,f983]) ).
fof(f1757,definition,
( spl98_188
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_188])],[avatar_definition]) ).
fof(f1758,plain,
( e4 = op(e2,e2)
| ~ spl98_188 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1775,definition,
( spl98_191
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl98_191])],[avatar_definition]) ).
fof(f1778,plain,
( ~ spl98_22
| ~ spl98_191 ),
inference(avatar_split_clause,[],[f557,f1775,f987]) ).
fof(f1787,definition,
( spl98_193
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_193])],[avatar_definition]) ).
fof(f1788,plain,
( e3 = op(e2,e2)
| ~ spl98_193 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1792,definition,
( spl98_194
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl98_194])],[avatar_definition]) ).
fof(f1795,plain,
( ~ spl98_23
| ~ spl98_194 ),
inference(avatar_split_clause,[],[f552,f1792,f991]) ).
fof(f1801,plain,
( ~ spl98_24
| ~ spl98_121 ),
inference(avatar_split_clause,[],[f544,f1399,f995]) ).
fof(f1817,definition,
( spl98_198
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_198])],[avatar_definition]) ).
fof(f1826,plain,
( ~ spl98_25
| ~ spl98_57 ),
inference(avatar_split_clause,[],[f844,f1127,f999]) ).
fof(f1835,plain,
( ~ spl98_26
| ~ spl98_56 ),
inference(avatar_split_clause,[],[f843,f1123,f1003]) ).
fof(f1836,plain,
( ~ spl98_27
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f529,f1512,f1007]) ).
fof(f1839,definition,
( spl98_201
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl98_201])],[avatar_definition]) ).
fof(f1840,plain,
( e1 = op(e2,e2)
| ~ spl98_201 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f1854,plain,
( ~ spl98_28
| ~ spl98_175 ),
inference(avatar_split_clause,[],[f525,f1685,f1011]) ).
fof(f1869,definition,
( spl98_206
<=> op(e2,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl98_206])],[avatar_definition]) ).
fof(f1870,plain,
( op(e2,e2) = unit
| ~ spl98_206 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1872,plain,
( ~ spl98_29
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f838,f1869,f1015]) ).
fof(f1881,plain,
( ~ spl98_30
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f833,f1869,f1019]) ).
fof(f1894,plain,
( ~ spl98_31
| ~ spl98_191 ),
inference(avatar_split_clause,[],[f511,f1775,f1023]) ).
fof(f1896,definition,
( spl98_210
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_210])],[avatar_definition]) ).
fof(f1897,plain,
( e4 = op(e1,e1)
| ~ spl98_210 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1906,plain,
( ~ spl98_32
| ~ spl98_157 ),
inference(avatar_split_clause,[],[f505,f1584,f1027]) ).
fof(f1914,plain,
( ~ spl98_33
| ~ spl98_126 ),
inference(avatar_split_clause,[],[f499,f1425,f1031]) ).
fof(f1918,definition,
( spl98_213
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_213])],[avatar_definition]) ).
fof(f1919,plain,
( e3 = op(e1,e1)
| ~ spl98_213 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1929,plain,
( ~ spl98_34
| ~ spl98_194 ),
inference(avatar_split_clause,[],[f496,f1792,f1035]) ).
fof(f1937,plain,
( ~ spl98_35
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f490,f1669,f1039]) ).
fof(f1940,definition,
( spl98_216
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_216])],[avatar_definition]) ).
fof(f1941,plain,
( e2 = op(e1,e1)
| ~ spl98_216 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1949,plain,
( ~ spl98_36
| ~ spl98_131 ),
inference(avatar_split_clause,[],[f484,f1450,f1043]) ).
fof(f1962,definition,
( spl98_219
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl98_219])],[avatar_definition]) ).
fof(f1966,plain,
( ~ spl98_37
| ~ spl98_59 ),
inference(avatar_split_clause,[],[f824,f1135,f1047]) ).
fof(f1971,plain,
( ~ spl98_38
| ~ spl98_58 ),
inference(avatar_split_clause,[],[f823,f1131,f1051]) ).
fof(f1976,definition,
( spl98_220
<=> op(e1,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl98_220])],[avatar_definition]) ).
fof(f1977,plain,
( op(e1,e1) = unit
| ~ spl98_220 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f1979,plain,
( ~ spl98_39
| ~ spl98_220 ),
inference(avatar_split_clause,[],[f819,f1976,f1055]) ).
fof(f1984,plain,
( ~ spl98_40
| ~ spl98_220 ),
inference(avatar_split_clause,[],[f814,f1976,f1059]) ).
fof(f1990,plain,
( ~ spl98_41
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f812,f1107,f1063]) ).
fof(f1995,definition,
( spl98_222
<=> e4 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl98_222])],[avatar_definition]) ).
fof(f1996,plain,
( e4 = op(unit,unit)
| ~ spl98_222 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1999,plain,
( ~ spl98_42
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f807,f1111,f1067]) ).
fof(f2005,plain,
( ~ spl98_43
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f801,f1115,f1071]) ).
fof(f2009,definition,
( spl98_223
<=> e3 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl98_223])],[avatar_definition]) ).
fof(f2010,plain,
( e3 = op(unit,unit)
| ~ spl98_223 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2014,plain,
( ~ spl98_44
| ~ spl98_55 ),
inference(avatar_split_clause,[],[f796,f1119,f1075]) ).
fof(f2020,plain,
( ~ spl98_45
| ~ spl98_56 ),
inference(avatar_split_clause,[],[f790,f1123,f1079]) ).
fof(f2025,plain,
( ~ spl98_46
| ~ spl98_57 ),
inference(avatar_split_clause,[],[f785,f1127,f1083]) ).
fof(f2031,plain,
( ~ spl98_47
| ~ spl98_58 ),
inference(avatar_split_clause,[],[f779,f1131,f1087]) ).
fof(f2036,plain,
( ~ spl98_48
| ~ spl98_59 ),
inference(avatar_split_clause,[],[f774,f1135,f1091]) ).
fof(f2042,plain,
( ~ spl98_49
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f768,f1335,f1095]) ).
fof(f2047,plain,
( ~ spl98_50
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f763,f1335,f1099]) ).
fof(f2049,definition,
( spl98_224
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl98_224])],[avatar_definition]) ).
fof(f2051,plain,
( e4 != unit
| spl98_224 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2054,definition,
( spl98_225
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl98_225])],[avatar_definition]) ).
fof(f2056,plain,
( e3 != unit
| spl98_225 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2059,definition,
( spl98_226
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl98_226])],[avatar_definition]) ).
fof(f2061,plain,
( e2 != unit
| spl98_226 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2064,definition,
( spl98_227
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl98_227])],[avatar_definition]) ).
fof(f2066,plain,
( e1 != unit
| spl98_227 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f2068,plain,
~ spl98_51,
inference(avatar_split_clause,[],[f901,f1103]) ).
fof(f2073,plain,
( ~ spl98_60
| ~ spl98_146 ),
inference(avatar_split_clause,[],[f761,f1527,f1139]) ).
fof(f2076,plain,
( ~ spl98_61
| ~ spl98_133 ),
inference(avatar_split_clause,[],[f401,f1461,f1143]) ).
fof(f2082,plain,
( ~ spl98_62
| ~ spl98_143 ),
inference(avatar_split_clause,[],[f397,f1512,f1147]) ).
fof(f2085,plain,
( ~ spl98_63
| ~ spl98_126 ),
inference(avatar_split_clause,[],[f390,f1425,f1151]) ).
fof(f2089,plain,
( ~ spl98_64
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f757,f1107,f1155]) ).
fof(f2097,plain,
( ~ spl98_65
| ~ spl98_138 ),
inference(avatar_split_clause,[],[f382,f1486,f1159]) ).
fof(f2103,plain,
( ~ spl98_66
| ~ spl98_181 ),
inference(avatar_split_clause,[],[f751,f1718,f1163]) ).
fof(f2104,plain,
( ~ spl98_67
| ~ spl98_159 ),
inference(avatar_split_clause,[],[f369,f1596,f1167]) ).
fof(f2111,plain,
( ~ spl98_68
| ~ spl98_172 ),
inference(avatar_split_clause,[],[f366,f1669,f1171]) ).
fof(f2115,plain,
( ~ spl98_69
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f747,f1115,f1175]) ).
fof(f2120,plain,
( ~ spl98_70
| ~ spl98_121 ),
inference(avatar_split_clause,[],[f355,f1399,f1179]) ).
fof(f2127,plain,
( ~ spl98_71
| ~ spl98_175 ),
inference(avatar_split_clause,[],[f352,f1685,f1183]) ).
fof(f2133,plain,
( ~ spl98_72
| ~ spl98_206 ),
inference(avatar_split_clause,[],[f741,f1869,f1187]) ).
fof(f2134,plain,
( ~ spl98_73
| ~ spl98_191 ),
inference(avatar_split_clause,[],[f339,f1775,f1191]) ).
fof(f2141,plain,
( ~ spl98_74
| ~ spl98_56 ),
inference(avatar_split_clause,[],[f737,f1123,f1195]) ).
fof(f2146,plain,
( ~ spl98_75
| ~ spl98_131 ),
inference(avatar_split_clause,[],[f331,f1450,f1199]) ).
fof(f2149,plain,
( ~ spl98_76
| ~ spl98_157 ),
inference(avatar_split_clause,[],[f324,f1584,f1203]) ).
fof(f2155,plain,
( ~ spl98_77
| ~ spl98_194 ),
inference(avatar_split_clause,[],[f320,f1792,f1207]) ).
fof(f2163,plain,
( ~ spl98_78
| ~ spl98_220 ),
inference(avatar_split_clause,[],[f731,f1976,f1211]) ).
fof(f2167,plain,
( ~ spl98_79
| ~ spl98_58 ),
inference(avatar_split_clause,[],[f727,f1131,f1215]) ).
fof(f2169,plain,
( ~ spl98_80
| ~ spl98_53 ),
inference(avatar_split_clause,[],[f725,f1111,f1219]) ).
fof(f2175,plain,
( ~ spl98_81
| ~ spl98_55 ),
inference(avatar_split_clause,[],[f719,f1119,f1223]) ).
fof(f2181,plain,
( ~ spl98_82
| ~ spl98_57 ),
inference(avatar_split_clause,[],[f713,f1127,f1227]) ).
fof(f2187,plain,
( ~ spl98_83
| ~ spl98_59 ),
inference(avatar_split_clause,[],[f707,f1135,f1231]) ).
fof(f2193,plain,
( ~ spl98_84
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f701,f1335,f1235]) ).
fof(f2194,plain,
( ~ spl98_85
| ~ spl98_112 ),
inference(avatar_split_clause,[],[f282,f1351,f1239]) ).
fof(f2195,plain,
( ~ spl98_85
| spl98_112 ),
inference(avatar_split_clause,[],[f283,f1351,f1239]) ).
fof(f2197,plain,
( ~ spl98_86
| spl98_119 ),
inference(avatar_split_clause,[],[f281,f1389,f1243]) ).
fof(f2199,plain,
( ~ spl98_87
| spl98_128 ),
inference(avatar_split_clause,[],[f279,f1435,f1247]) ).
fof(f2201,plain,
( ~ spl98_88
| spl98_137 ),
inference(avatar_split_clause,[],[f277,f1481,f1251]) ).
fof(f2202,plain,
( ~ spl98_89
| ~ spl98_52 ),
inference(avatar_split_clause,[],[f700,f1107,f1255]) ).
fof(f2205,plain,
( ~ spl98_90
| spl98_155 ),
inference(avatar_split_clause,[],[f273,f1574,f1259]) ).
fof(f2206,plain,
( ~ spl98_91
| ~ spl98_162 ),
inference(avatar_split_clause,[],[f270,f1612,f1263]) ).
fof(f2207,plain,
( ~ spl98_91
| spl98_162 ),
inference(avatar_split_clause,[],[f271,f1612,f1263]) ).
fof(f2209,plain,
( ~ spl98_92
| spl98_167 ),
inference(avatar_split_clause,[],[f269,f1642,f1267]) ).
fof(f2211,plain,
( ~ spl98_93
| spl98_174 ),
inference(avatar_split_clause,[],[f267,f1680,f1271]) ).
fof(f2212,plain,
( ~ spl98_94
| ~ spl98_54 ),
inference(avatar_split_clause,[],[f698,f1115,f1275]) ).
fof(f2215,plain,
( ~ spl98_95
| spl98_188 ),
inference(avatar_split_clause,[],[f263,f1757,f1279]) ).
fof(f2217,plain,
( ~ spl98_96
| spl98_193 ),
inference(avatar_split_clause,[],[f261,f1787,f1283]) ).
fof(f2218,plain,
( ~ spl98_97
| ~ spl98_198 ),
inference(avatar_split_clause,[],[f258,f1817,f1287]) ).
fof(f2219,plain,
( ~ spl98_97
| spl98_198 ),
inference(avatar_split_clause,[],[f259,f1817,f1287]) ).
fof(f2221,plain,
( ~ spl98_98
| spl98_201 ),
inference(avatar_split_clause,[],[f257,f1839,f1291]) ).
fof(f2222,plain,
( ~ spl98_99
| ~ spl98_56 ),
inference(avatar_split_clause,[],[f696,f1123,f1295]) ).
fof(f2225,plain,
( ~ spl98_100
| spl98_210 ),
inference(avatar_split_clause,[],[f253,f1896,f1299]) ).
fof(f2227,plain,
( ~ spl98_101
| spl98_213 ),
inference(avatar_split_clause,[],[f251,f1918,f1303]) ).
fof(f2229,plain,
( ~ spl98_102
| spl98_216 ),
inference(avatar_split_clause,[],[f249,f1940,f1307]) ).
fof(f2230,plain,
( ~ spl98_103
| ~ spl98_219 ),
inference(avatar_split_clause,[],[f246,f1962,f1311]) ).
fof(f2231,plain,
( ~ spl98_103
| spl98_219 ),
inference(avatar_split_clause,[],[f247,f1962,f1311]) ).
fof(f2232,plain,
( ~ spl98_104
| ~ spl98_58 ),
inference(avatar_split_clause,[],[f694,f1131,f1315]) ).
fof(f2235,plain,
( ~ spl98_105
| spl98_222 ),
inference(avatar_split_clause,[],[f691,f1995,f1319]) ).
fof(f2237,plain,
( ~ spl98_106
| spl98_223 ),
inference(avatar_split_clause,[],[f689,f2009,f1323]) ).
fof(f2238,plain,
spl98_146,
inference(avatar_split_clause,[],[f688,f1527]) ).
fof(f2239,plain,
spl98_133,
inference(avatar_split_clause,[],[f215,f1461]) ).
fof(f2240,plain,
spl98_143,
inference(avatar_split_clause,[],[f216,f1512]) ).
fof(f2241,plain,
spl98_126,
inference(avatar_split_clause,[],[f217,f1425]) ).
fof(f2242,plain,
spl98_52,
inference(avatar_split_clause,[],[f687,f1107]) ).
fof(f2243,plain,
spl98_138,
inference(avatar_split_clause,[],[f219,f1486]) ).
fof(f2244,plain,
spl98_181,
inference(avatar_split_clause,[],[f686,f1718]) ).
fof(f2245,plain,
spl98_159,
inference(avatar_split_clause,[],[f221,f1596]) ).
fof(f2246,plain,
spl98_172,
inference(avatar_split_clause,[],[f222,f1669]) ).
fof(f2247,plain,
spl98_54,
inference(avatar_split_clause,[],[f685,f1115]) ).
fof(f2248,plain,
spl98_121,
inference(avatar_split_clause,[],[f224,f1399]) ).
fof(f2249,plain,
spl98_175,
inference(avatar_split_clause,[],[f225,f1685]) ).
fof(f2250,plain,
spl98_206,
inference(avatar_split_clause,[],[f684,f1869]) ).
fof(f2251,plain,
spl98_191,
inference(avatar_split_clause,[],[f227,f1775]) ).
fof(f2252,plain,
spl98_56,
inference(avatar_split_clause,[],[f683,f1123]) ).
fof(f2253,plain,
spl98_131,
inference(avatar_split_clause,[],[f229,f1450]) ).
fof(f2254,plain,
spl98_157,
inference(avatar_split_clause,[],[f230,f1584]) ).
fof(f2255,plain,
spl98_194,
inference(avatar_split_clause,[],[f231,f1792]) ).
fof(f2256,plain,
spl98_220,
inference(avatar_split_clause,[],[f682,f1976]) ).
fof(f2257,plain,
spl98_58,
inference(avatar_split_clause,[],[f681,f1131]) ).
fof(f2258,plain,
spl98_53,
inference(avatar_split_clause,[],[f680,f1111]) ).
fof(f2259,plain,
spl98_55,
inference(avatar_split_clause,[],[f679,f1119]) ).
fof(f2260,plain,
spl98_57,
inference(avatar_split_clause,[],[f678,f1127]) ).
fof(f2261,plain,
spl98_59,
inference(avatar_split_clause,[],[f677,f1135]) ).
fof(f2262,plain,
spl98_109,
inference(avatar_split_clause,[],[f676,f1335]) ).
fof(f2263,plain,
~ spl98_224,
inference(avatar_split_clause,[],[f675,f2049]) ).
fof(f2264,plain,
~ spl98_225,
inference(avatar_split_clause,[],[f674,f2054]) ).
fof(f2265,plain,
~ spl98_226,
inference(avatar_split_clause,[],[f673,f2059]) ).
fof(f2266,plain,
~ spl98_227,
inference(avatar_split_clause,[],[f672,f2064]) ).
fof(f2270,plain,
( e2 = unit
| ~ spl98_109
| ~ spl98_110 ),
inference(superposition,[],[f1336,f1342]) ).
fof(f2271,plain,
( spl98_226
| ~ spl98_109
| ~ spl98_110 ),
inference(avatar_split_clause,[],[f2270,f1340,f1335,f2059]) ).
fof(f2277,plain,
( e1 = unit
| ~ spl98_109
| ~ spl98_111 ),
inference(superposition,[],[f1336,f1347]) ).
fof(f2278,plain,
( spl98_227
| ~ spl98_109
| ~ spl98_111 ),
inference(avatar_split_clause,[],[f2277,f1345,f1335,f2064]) ).
fof(f2282,plain,
( e3 = unit
| ~ spl98_119
| ~ spl98_146 ),
inference(forward_demodulation,[],[f1528,f1390]) ).
fof(f2283,plain,
( $false
| ~ spl98_119
| ~ spl98_146
| spl98_225 ),
inference(forward_subsumption_resolution,[],[f2282,f2056]) ).
fof(f2284,plain,
( ~ spl98_119
| ~ spl98_146
| spl98_225 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2287,plain,
( e2 = unit
| ~ spl98_128
| ~ spl98_146 ),
inference(forward_demodulation,[],[f1528,f1436]) ).
fof(f2288,plain,
( $false
| ~ spl98_128
| ~ spl98_146
| spl98_226 ),
inference(forward_subsumption_resolution,[],[f2287,f2061]) ).
fof(f2289,plain,
( ~ spl98_128
| ~ spl98_146
| spl98_226 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
fof(f2293,plain,
( e1 = unit
| ~ spl98_137
| ~ spl98_146 ),
inference(forward_demodulation,[],[f1528,f1482]) ).
fof(f2294,plain,
( $false
| ~ spl98_137
| ~ spl98_146
| spl98_227 ),
inference(forward_subsumption_resolution,[],[f2293,f2066]) ).
fof(f2295,plain,
( ~ spl98_137
| ~ spl98_146
| spl98_227 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2300,plain,
( e4 = unit
| ~ spl98_155
| ~ spl98_181 ),
inference(forward_demodulation,[],[f1719,f1575]) ).
fof(f2301,plain,
( $false
| ~ spl98_155
| ~ spl98_181
| spl98_224 ),
inference(forward_subsumption_resolution,[],[f2300,f2051]) ).
fof(f2302,plain,
( ~ spl98_155
| ~ spl98_181
| spl98_224 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2305,plain,
( e3 = unit
| ~ spl98_109
| ~ spl98_223 ),
inference(superposition,[],[f2010,f1336]) ).
fof(f2309,plain,
( $false
| ~ spl98_109
| ~ spl98_223
| spl98_225 ),
inference(forward_subsumption_resolution,[],[f2305,f2056]) ).
fof(f2310,plain,
( ~ spl98_109
| ~ spl98_223
| spl98_225 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
fof(f2313,plain,
( e2 = unit
| ~ spl98_167
| ~ spl98_181 ),
inference(superposition,[],[f1643,f1719]) ).
fof(f2318,plain,
( $false
| ~ spl98_167
| ~ spl98_181
| spl98_226 ),
inference(forward_subsumption_resolution,[],[f2313,f2061]) ).
fof(f2319,plain,
( ~ spl98_167
| ~ spl98_181
| spl98_226 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2322,plain,
( e4 = unit
| ~ spl98_188
| ~ spl98_206 ),
inference(superposition,[],[f1758,f1870]) ).
fof(f2326,plain,
( $false
| ~ spl98_188
| ~ spl98_206
| spl98_224 ),
inference(forward_subsumption_resolution,[],[f2322,f2051]) ).
fof(f2327,plain,
( ~ spl98_188
| ~ spl98_206
| spl98_224 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2330,plain,
( e3 = unit
| ~ spl98_193
| ~ spl98_206 ),
inference(superposition,[],[f1788,f1870]) ).
fof(f2334,plain,
( $false
| ~ spl98_193
| ~ spl98_206
| spl98_225 ),
inference(forward_subsumption_resolution,[],[f2330,f2056]) ).
fof(f2335,plain,
( ~ spl98_193
| ~ spl98_206
| spl98_225 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2338,plain,
( e4 = unit
| ~ spl98_109
| ~ spl98_222 ),
inference(superposition,[],[f1996,f1336]) ).
fof(f2342,plain,
( $false
| ~ spl98_109
| ~ spl98_222
| spl98_224 ),
inference(forward_subsumption_resolution,[],[f2338,f2051]) ).
fof(f2343,plain,
( ~ spl98_109
| ~ spl98_222
| spl98_224 ),
inference(avatar_contradiction_clause,[],[f2342]) ).
fof(f2346,plain,
( e1 = unit
| ~ spl98_174
| ~ spl98_181 ),
inference(superposition,[],[f1681,f1719]) ).
fof(f2351,plain,
( $false
| ~ spl98_174
| ~ spl98_181
| spl98_227 ),
inference(forward_subsumption_resolution,[],[f2346,f2066]) ).
fof(f2352,plain,
( ~ spl98_174
| ~ spl98_181
| spl98_227 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
fof(f2355,plain,
( e1 = unit
| ~ spl98_201
| ~ spl98_206 ),
inference(superposition,[],[f1840,f1870]) ).
fof(f2359,plain,
( $false
| ~ spl98_201
| ~ spl98_206
| spl98_227 ),
inference(forward_subsumption_resolution,[],[f2355,f2066]) ).
fof(f2360,plain,
( ~ spl98_201
| ~ spl98_206
| spl98_227 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2363,plain,
( e4 = unit
| ~ spl98_210
| ~ spl98_220 ),
inference(superposition,[],[f1897,f1977]) ).
fof(f2367,plain,
( $false
| ~ spl98_210
| ~ spl98_220
| spl98_224 ),
inference(forward_subsumption_resolution,[],[f2363,f2051]) ).
fof(f2368,plain,
( ~ spl98_210
| ~ spl98_220
| spl98_224 ),
inference(avatar_contradiction_clause,[],[f2367]) ).
fof(f2371,plain,
( e3 = unit
| ~ spl98_213
| ~ spl98_220 ),
inference(superposition,[],[f1919,f1977]) ).
fof(f2375,plain,
( $false
| ~ spl98_213
| ~ spl98_220
| spl98_225 ),
inference(forward_subsumption_resolution,[],[f2371,f2056]) ).
fof(f2376,plain,
( ~ spl98_213
| ~ spl98_220
| spl98_225 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2379,plain,
( e2 = unit
| ~ spl98_216
| ~ spl98_220 ),
inference(superposition,[],[f1941,f1977]) ).
fof(f2383,plain,
( $false
| ~ spl98_216
| ~ spl98_220
| spl98_226 ),
inference(forward_subsumption_resolution,[],[f2379,f2061]) ).
fof(f2384,plain,
( ~ spl98_216
| ~ spl98_220
| spl98_226 ),
inference(avatar_contradiction_clause,[],[f2383]) ).
cnf(s4,plain,
( spl98_1
| spl98_2
| spl98_3
| spl98_4
| spl98_5
| spl98_6
| spl98_7
| spl98_8
| spl98_9
| spl98_10
| spl98_11
| spl98_12
| spl98_13
| spl98_14
| spl98_15
| spl98_16
| spl98_17
| spl98_18
| spl98_19
| spl98_20
| spl98_21
| spl98_22
| spl98_23
| spl98_24
| spl98_25
| spl98_26
| spl98_27
| spl98_28
| spl98_29
| spl98_30
| spl98_31
| spl98_32
| spl98_33
| spl98_34
| spl98_35
| spl98_36
| spl98_37
| spl98_38
| spl98_39
| spl98_40
| spl98_41
| spl98_42
| spl98_43
| spl98_44
| spl98_45
| spl98_46
| spl98_47
| spl98_48
| spl98_49
| spl98_50
| spl98_51
| ~ spl98_52
| ~ spl98_53
| ~ spl98_54
| ~ spl98_55
| ~ spl98_56
| ~ spl98_57
| ~ spl98_58
| ~ spl98_59
| spl98_60
| spl98_61
| spl98_62
| spl98_63
| spl98_64
| spl98_65
| spl98_66
| spl98_67
| spl98_68
| spl98_69
| spl98_70
| spl98_71
| spl98_72
| spl98_73
| spl98_74
| spl98_75
| spl98_76
| spl98_77
| spl98_78
| spl98_79
| spl98_80
| spl98_81
| spl98_82
| spl98_83
| spl98_84
| spl98_85
| spl98_86
| spl98_87
| spl98_88
| spl98_89
| spl98_90
| spl98_91
| spl98_92
| spl98_93
| spl98_94
| spl98_95
| spl98_96
| spl98_97
| spl98_98
| spl98_99
| spl98_100
| spl98_101
| spl98_102
| spl98_103
| spl98_104
| spl98_105
| spl98_106
| ~ spl98_109
| spl98_110
| spl98_111 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s9,plain,
( ~ spl98_1
| ~ spl98_53 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s14,plain,
( ~ spl98_2
| ~ spl98_52 ),
inference(sat_conversion,[],[f1387]) ).
cnf(s17,plain,
( ~ spl98_3
| ~ spl98_121 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s23,plain,
( ~ spl98_4
| ~ spl98_126 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s28,plain,
( ~ spl98_5
| ~ spl98_131 ),
inference(sat_conversion,[],[f1453]) ).
cnf(s31,plain,
( ~ spl98_6
| ~ spl98_133 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s36,plain,
( ~ spl98_7
| ~ spl98_138 ),
inference(sat_conversion,[],[f1489]) ).
cnf(s42,plain,
( ~ spl98_8
| ~ spl98_143 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s45,plain,
( ~ spl98_9
| ~ spl98_146 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s50,plain,
( ~ spl98_10
| ~ spl98_146 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s58,plain,
( ~ spl98_11
| ~ spl98_157 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s62,plain,
( ~ spl98_12
| ~ spl98_159 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s69,plain,
( ~ spl98_13
| ~ spl98_55 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s74,plain,
( ~ spl98_14
| ~ spl98_54 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s75,plain,
( ~ spl98_15
| ~ spl98_133 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s83,plain,
( ~ spl98_16
| ~ spl98_172 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s87,plain,
( ~ spl98_17
| ~ spl98_175 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s90,plain,
( ~ spl98_18
| ~ spl98_138 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s96,plain,
( ~ spl98_19
| ~ spl98_181 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s101,plain,
( ~ spl98_20
| ~ spl98_181 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s106,plain,
( ~ spl98_21
| ~ spl98_159 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s113,plain,
( ~ spl98_22
| ~ spl98_191 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s118,plain,
( ~ spl98_23
| ~ spl98_194 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s120,plain,
( ~ spl98_24
| ~ spl98_121 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s129,plain,
( ~ spl98_25
| ~ spl98_57 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s134,plain,
( ~ spl98_26
| ~ spl98_56 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s135,plain,
( ~ spl98_27
| ~ spl98_143 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s141,plain,
( ~ spl98_28
| ~ spl98_175 ),
inference(sat_conversion,[],[f1854]) ).
cnf(s147,plain,
( ~ spl98_29
| ~ spl98_206 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s152,plain,
( ~ spl98_30
| ~ spl98_206 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s157,plain,
( ~ spl98_31
| ~ spl98_191 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s161,plain,
( ~ spl98_32
| ~ spl98_157 ),
inference(sat_conversion,[],[f1906]) ).
cnf(s165,plain,
( ~ spl98_33
| ~ spl98_126 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s172,plain,
( ~ spl98_34
| ~ spl98_194 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s176,plain,
( ~ spl98_35
| ~ spl98_172 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s180,plain,
( ~ spl98_36
| ~ spl98_131 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s189,plain,
( ~ spl98_37
| ~ spl98_59 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s194,plain,
( ~ spl98_38
| ~ spl98_58 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s198,plain,
( ~ spl98_39
| ~ spl98_220 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s203,plain,
( ~ spl98_40
| ~ spl98_220 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s205,plain,
( ~ spl98_41
| ~ spl98_52 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s210,plain,
( ~ spl98_42
| ~ spl98_53 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s216,plain,
( ~ spl98_43
| ~ spl98_54 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s221,plain,
( ~ spl98_44
| ~ spl98_55 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s227,plain,
( ~ spl98_45
| ~ spl98_56 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s232,plain,
( ~ spl98_46
| ~ spl98_57 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s238,plain,
( ~ spl98_47
| ~ spl98_58 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s243,plain,
( ~ spl98_48
| ~ spl98_59 ),
inference(sat_conversion,[],[f2036]) ).
cnf(s249,plain,
( ~ spl98_49
| ~ spl98_109 ),
inference(sat_conversion,[],[f2042]) ).
cnf(s254,plain,
( ~ spl98_50
| ~ spl98_109 ),
inference(sat_conversion,[],[f2047]) ).
cnf(s259,plain,
~ spl98_51,
inference(sat_conversion,[],[f2068]) ).
cnf(s264,plain,
( ~ spl98_60
| ~ spl98_146 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s267,plain,
( ~ spl98_61
| ~ spl98_133 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s273,plain,
( ~ spl98_62
| ~ spl98_143 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s276,plain,
( ~ spl98_63
| ~ spl98_126 ),
inference(sat_conversion,[],[f2085]) ).
cnf(s280,plain,
( ~ spl98_52
| ~ spl98_64 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s288,plain,
( ~ spl98_65
| ~ spl98_138 ),
inference(sat_conversion,[],[f2097]) ).
cnf(s294,plain,
( ~ spl98_66
| ~ spl98_181 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s295,plain,
( ~ spl98_67
| ~ spl98_159 ),
inference(sat_conversion,[],[f2104]) ).
cnf(s302,plain,
( ~ spl98_68
| ~ spl98_172 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s306,plain,
( ~ spl98_54
| ~ spl98_69 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s311,plain,
( ~ spl98_70
| ~ spl98_121 ),
inference(sat_conversion,[],[f2120]) ).
cnf(s318,plain,
( ~ spl98_71
| ~ spl98_175 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s324,plain,
( ~ spl98_72
| ~ spl98_206 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s325,plain,
( ~ spl98_73
| ~ spl98_191 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s332,plain,
( ~ spl98_56
| ~ spl98_74 ),
inference(sat_conversion,[],[f2141]) ).
cnf(s337,plain,
( ~ spl98_75
| ~ spl98_131 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s340,plain,
( ~ spl98_76
| ~ spl98_157 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s346,plain,
( ~ spl98_77
| ~ spl98_194 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s354,plain,
( ~ spl98_78
| ~ spl98_220 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s358,plain,
( ~ spl98_58
| ~ spl98_79 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s360,plain,
( ~ spl98_53
| ~ spl98_80 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s366,plain,
( ~ spl98_55
| ~ spl98_81 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s372,plain,
( ~ spl98_57
| ~ spl98_82 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s378,plain,
( ~ spl98_59
| ~ spl98_83 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s384,plain,
( ~ spl98_84
| ~ spl98_109 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s385,plain,
( ~ spl98_85
| ~ spl98_112 ),
inference(sat_conversion,[],[f2194]) ).
cnf(s386,plain,
( ~ spl98_85
| spl98_112 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s388,plain,
( ~ spl98_86
| spl98_119 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s390,plain,
( ~ spl98_87
| spl98_128 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s392,plain,
( ~ spl98_88
| spl98_137 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s393,plain,
( ~ spl98_52
| ~ spl98_89 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s396,plain,
( ~ spl98_90
| spl98_155 ),
inference(sat_conversion,[],[f2205]) ).
cnf(s397,plain,
( ~ spl98_91
| ~ spl98_162 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s398,plain,
( ~ spl98_91
| spl98_162 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s400,plain,
( ~ spl98_92
| spl98_167 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s402,plain,
( ~ spl98_93
| spl98_174 ),
inference(sat_conversion,[],[f2211]) ).
cnf(s403,plain,
( ~ spl98_54
| ~ spl98_94 ),
inference(sat_conversion,[],[f2212]) ).
cnf(s406,plain,
( ~ spl98_95
| spl98_188 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s408,plain,
( ~ spl98_96
| spl98_193 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s409,plain,
( ~ spl98_97
| ~ spl98_198 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s410,plain,
( ~ spl98_97
| spl98_198 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s412,plain,
( ~ spl98_98
| spl98_201 ),
inference(sat_conversion,[],[f2221]) ).
cnf(s413,plain,
( ~ spl98_56
| ~ spl98_99 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s416,plain,
( ~ spl98_100
| spl98_210 ),
inference(sat_conversion,[],[f2225]) ).
cnf(s418,plain,
( ~ spl98_101
| spl98_213 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s420,plain,
( ~ spl98_102
| spl98_216 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s421,plain,
( ~ spl98_103
| ~ spl98_219 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s422,plain,
( ~ spl98_103
| spl98_219 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s423,plain,
( ~ spl98_58
| ~ spl98_104 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s426,plain,
( ~ spl98_105
| spl98_222 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s428,plain,
( ~ spl98_106
| spl98_223 ),
inference(sat_conversion,[],[f2237]) ).
cnf(s429,plain,
spl98_146,
inference(sat_conversion,[],[f2238]) ).
cnf(s430,plain,
spl98_133,
inference(sat_conversion,[],[f2239]) ).
cnf(s431,plain,
spl98_143,
inference(sat_conversion,[],[f2240]) ).
cnf(s432,plain,
spl98_126,
inference(sat_conversion,[],[f2241]) ).
cnf(s433,plain,
spl98_52,
inference(sat_conversion,[],[f2242]) ).
cnf(s434,plain,
spl98_138,
inference(sat_conversion,[],[f2243]) ).
cnf(s435,plain,
spl98_181,
inference(sat_conversion,[],[f2244]) ).
cnf(s436,plain,
spl98_159,
inference(sat_conversion,[],[f2245]) ).
cnf(s437,plain,
spl98_172,
inference(sat_conversion,[],[f2246]) ).
cnf(s438,plain,
spl98_54,
inference(sat_conversion,[],[f2247]) ).
cnf(s439,plain,
spl98_121,
inference(sat_conversion,[],[f2248]) ).
cnf(s440,plain,
spl98_175,
inference(sat_conversion,[],[f2249]) ).
cnf(s441,plain,
spl98_206,
inference(sat_conversion,[],[f2250]) ).
cnf(s442,plain,
spl98_191,
inference(sat_conversion,[],[f2251]) ).
cnf(s443,plain,
spl98_56,
inference(sat_conversion,[],[f2252]) ).
cnf(s444,plain,
spl98_131,
inference(sat_conversion,[],[f2253]) ).
cnf(s445,plain,
spl98_157,
inference(sat_conversion,[],[f2254]) ).
cnf(s446,plain,
spl98_194,
inference(sat_conversion,[],[f2255]) ).
cnf(s447,plain,
spl98_220,
inference(sat_conversion,[],[f2256]) ).
cnf(s448,plain,
spl98_58,
inference(sat_conversion,[],[f2257]) ).
cnf(s449,plain,
spl98_53,
inference(sat_conversion,[],[f2258]) ).
cnf(s450,plain,
spl98_55,
inference(sat_conversion,[],[f2259]) ).
cnf(s451,plain,
spl98_57,
inference(sat_conversion,[],[f2260]) ).
cnf(s452,plain,
spl98_59,
inference(sat_conversion,[],[f2261]) ).
cnf(s453,plain,
spl98_109,
inference(sat_conversion,[],[f2262]) ).
cnf(s454,plain,
~ spl98_224,
inference(sat_conversion,[],[f2263]) ).
cnf(s455,plain,
~ spl98_225,
inference(sat_conversion,[],[f2264]) ).
cnf(s456,plain,
~ spl98_226,
inference(sat_conversion,[],[f2265]) ).
cnf(s457,plain,
~ spl98_227,
inference(sat_conversion,[],[f2266]) ).
cnf(s459,plain,
( ~ spl98_109
| ~ spl98_110
| spl98_226 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s463,plain,
( ~ spl98_109
| ~ spl98_111
| spl98_227 ),
inference(sat_conversion,[],[f2278]) ).
cnf(s466,plain,
( ~ spl98_119
| ~ spl98_146
| spl98_225 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s467,plain,
( ~ spl98_128
| ~ spl98_146
| spl98_226 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s468,plain,
( ~ spl98_137
| ~ spl98_146
| spl98_227 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s469,plain,
( ~ spl98_155
| ~ spl98_181
| spl98_224 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s471,plain,
( ~ spl98_109
| ~ spl98_223
| spl98_225 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s473,plain,
( ~ spl98_167
| ~ spl98_181
| spl98_226 ),
inference(sat_conversion,[],[f2319]) ).
cnf(s475,plain,
( ~ spl98_188
| ~ spl98_206
| spl98_224 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s477,plain,
( ~ spl98_193
| ~ spl98_206
| spl98_225 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s479,plain,
( ~ spl98_109
| ~ spl98_222
| spl98_224 ),
inference(sat_conversion,[],[f2343]) ).
cnf(s481,plain,
( ~ spl98_174
| ~ spl98_181
| spl98_227 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s483,plain,
( ~ spl98_201
| ~ spl98_206
| spl98_227 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s485,plain,
( ~ spl98_210
| ~ spl98_220
| spl98_224 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s487,plain,
( ~ spl98_213
| ~ spl98_220
| spl98_225 ),
inference(sat_conversion,[],[f2376]) ).
cnf(s489,plain,
( ~ spl98_216
| ~ spl98_220
| spl98_226 ),
inference(sat_conversion,[],[f2384]) ).
cnf(s490,plain,
~ spl98_222,
inference(rat,[],[s479,s454,s453]) ).
cnf(s491,plain,
~ spl98_223,
inference(rat,[],[s471,s455,s453]) ).
cnf(s492,plain,
~ spl98_111,
inference(rat,[],[s463,s457,s453]) ).
cnf(s493,plain,
~ spl98_110,
inference(rat,[],[s459,s456,s453]) ).
cnf(s494,plain,
~ spl98_216,
inference(rat,[],[s489,s456,s447]) ).
cnf(s495,plain,
~ spl98_213,
inference(rat,[],[s487,s455,s447]) ).
cnf(s496,plain,
~ spl98_210,
inference(rat,[],[s485,s454,s447]) ).
cnf(s497,plain,
~ spl98_201,
inference(rat,[],[s483,s457,s441]) ).
cnf(s498,plain,
~ spl98_193,
inference(rat,[],[s477,s455,s441]) ).
cnf(s499,plain,
~ spl98_188,
inference(rat,[],[s475,s454,s441]) ).
cnf(s500,plain,
~ spl98_174,
inference(rat,[],[s481,s457,s435]) ).
cnf(s501,plain,
~ spl98_167,
inference(rat,[],[s473,s456,s435]) ).
cnf(s502,plain,
~ spl98_155,
inference(rat,[],[s469,s454,s435]) ).
cnf(s503,plain,
~ spl98_137,
inference(rat,[],[s468,s457,s429]) ).
cnf(s504,plain,
~ spl98_128,
inference(rat,[],[s467,s456,s429]) ).
cnf(s505,plain,
~ spl98_119,
inference(rat,[],[s466,s455,s429]) ).
cnf(s506,plain,
~ spl98_106,
inference(rat,[],[s428,s491]) ).
cnf(s507,plain,
~ spl98_105,
inference(rat,[],[s426,s490]) ).
cnf(s508,plain,
~ spl98_104,
inference(rat,[],[s423,s448]) ).
cnf(s509,plain,
~ spl98_102,
inference(rat,[],[s420,s494]) ).
cnf(s510,plain,
~ spl98_101,
inference(rat,[],[s418,s495]) ).
cnf(s511,plain,
~ spl98_100,
inference(rat,[],[s416,s496]) ).
cnf(s512,plain,
~ spl98_99,
inference(rat,[],[s413,s443]) ).
cnf(s513,plain,
~ spl98_98,
inference(rat,[],[s412,s497]) ).
cnf(s514,plain,
~ spl98_96,
inference(rat,[],[s408,s498]) ).
cnf(s515,plain,
~ spl98_95,
inference(rat,[],[s406,s499]) ).
cnf(s516,plain,
~ spl98_94,
inference(rat,[],[s403,s438]) ).
cnf(s517,plain,
~ spl98_93,
inference(rat,[],[s402,s500]) ).
cnf(s518,plain,
~ spl98_92,
inference(rat,[],[s400,s501]) ).
cnf(s519,plain,
~ spl98_90,
inference(rat,[],[s396,s502]) ).
cnf(s520,plain,
~ spl98_89,
inference(rat,[],[s393,s433]) ).
cnf(s521,plain,
~ spl98_88,
inference(rat,[],[s392,s503]) ).
cnf(s522,plain,
~ spl98_87,
inference(rat,[],[s390,s504]) ).
cnf(s523,plain,
~ spl98_86,
inference(rat,[],[s388,s505]) ).
cnf(s524,plain,
~ spl98_84,
inference(rat,[],[s384,s453]) ).
cnf(s525,plain,
~ spl98_83,
inference(rat,[],[s378,s452]) ).
cnf(s526,plain,
~ spl98_82,
inference(rat,[],[s372,s451]) ).
cnf(s527,plain,
~ spl98_81,
inference(rat,[],[s366,s450]) ).
cnf(s528,plain,
~ spl98_80,
inference(rat,[],[s360,s449]) ).
cnf(s529,plain,
~ spl98_79,
inference(rat,[],[s358,s448]) ).
cnf(s530,plain,
~ spl98_78,
inference(rat,[],[s354,s447]) ).
cnf(s531,plain,
~ spl98_77,
inference(rat,[],[s346,s446]) ).
cnf(s532,plain,
~ spl98_76,
inference(rat,[],[s340,s445]) ).
cnf(s533,plain,
~ spl98_75,
inference(rat,[],[s337,s444]) ).
cnf(s534,plain,
~ spl98_74,
inference(rat,[],[s332,s443]) ).
cnf(s535,plain,
~ spl98_73,
inference(rat,[],[s325,s442]) ).
cnf(s536,plain,
~ spl98_72,
inference(rat,[],[s324,s441]) ).
cnf(s537,plain,
~ spl98_71,
inference(rat,[],[s318,s440]) ).
cnf(s538,plain,
~ spl98_70,
inference(rat,[],[s311,s439]) ).
cnf(s539,plain,
~ spl98_69,
inference(rat,[],[s306,s438]) ).
cnf(s540,plain,
~ spl98_68,
inference(rat,[],[s302,s437]) ).
cnf(s541,plain,
~ spl98_67,
inference(rat,[],[s295,s436]) ).
cnf(s542,plain,
~ spl98_66,
inference(rat,[],[s294,s435]) ).
cnf(s543,plain,
~ spl98_65,
inference(rat,[],[s288,s434]) ).
cnf(s544,plain,
~ spl98_64,
inference(rat,[],[s280,s433]) ).
cnf(s545,plain,
~ spl98_63,
inference(rat,[],[s276,s432]) ).
cnf(s546,plain,
~ spl98_62,
inference(rat,[],[s273,s431]) ).
cnf(s547,plain,
~ spl98_61,
inference(rat,[],[s267,s430]) ).
cnf(s548,plain,
~ spl98_60,
inference(rat,[],[s264,s429]) ).
cnf(s549,plain,
~ spl98_50,
inference(rat,[],[s254,s453]) ).
cnf(s550,plain,
~ spl98_49,
inference(rat,[],[s249,s453]) ).
cnf(s551,plain,
~ spl98_48,
inference(rat,[],[s243,s452]) ).
cnf(s552,plain,
~ spl98_47,
inference(rat,[],[s238,s448]) ).
cnf(s553,plain,
~ spl98_46,
inference(rat,[],[s232,s451]) ).
cnf(s554,plain,
~ spl98_45,
inference(rat,[],[s227,s443]) ).
cnf(s555,plain,
~ spl98_44,
inference(rat,[],[s221,s450]) ).
cnf(s556,plain,
~ spl98_43,
inference(rat,[],[s216,s438]) ).
cnf(s557,plain,
~ spl98_42,
inference(rat,[],[s210,s449]) ).
cnf(s558,plain,
~ spl98_41,
inference(rat,[],[s205,s433]) ).
cnf(s559,plain,
~ spl98_40,
inference(rat,[],[s203,s447]) ).
cnf(s560,plain,
~ spl98_39,
inference(rat,[],[s198,s447]) ).
cnf(s561,plain,
~ spl98_38,
inference(rat,[],[s194,s448]) ).
cnf(s562,plain,
~ spl98_37,
inference(rat,[],[s189,s452]) ).
cnf(s563,plain,
~ spl98_36,
inference(rat,[],[s180,s444]) ).
cnf(s564,plain,
~ spl98_35,
inference(rat,[],[s176,s437]) ).
cnf(s565,plain,
~ spl98_34,
inference(rat,[],[s172,s446]) ).
cnf(s566,plain,
~ spl98_33,
inference(rat,[],[s165,s432]) ).
cnf(s567,plain,
~ spl98_32,
inference(rat,[],[s161,s445]) ).
cnf(s568,plain,
~ spl98_31,
inference(rat,[],[s157,s442]) ).
cnf(s569,plain,
~ spl98_30,
inference(rat,[],[s152,s441]) ).
cnf(s570,plain,
~ spl98_29,
inference(rat,[],[s147,s441]) ).
cnf(s571,plain,
~ spl98_28,
inference(rat,[],[s141,s440]) ).
cnf(s572,plain,
~ spl98_27,
inference(rat,[],[s135,s431]) ).
cnf(s573,plain,
~ spl98_26,
inference(rat,[],[s134,s443]) ).
cnf(s574,plain,
~ spl98_25,
inference(rat,[],[s129,s451]) ).
cnf(s575,plain,
~ spl98_24,
inference(rat,[],[s120,s439]) ).
cnf(s576,plain,
~ spl98_23,
inference(rat,[],[s118,s446]) ).
cnf(s577,plain,
~ spl98_22,
inference(rat,[],[s113,s442]) ).
cnf(s578,plain,
~ spl98_21,
inference(rat,[],[s106,s436]) ).
cnf(s579,plain,
~ spl98_20,
inference(rat,[],[s101,s435]) ).
cnf(s580,plain,
~ spl98_19,
inference(rat,[],[s96,s435]) ).
cnf(s581,plain,
~ spl98_18,
inference(rat,[],[s90,s434]) ).
cnf(s582,plain,
~ spl98_17,
inference(rat,[],[s87,s440]) ).
cnf(s583,plain,
~ spl98_16,
inference(rat,[],[s83,s437]) ).
cnf(s584,plain,
~ spl98_15,
inference(rat,[],[s75,s430]) ).
cnf(s585,plain,
~ spl98_14,
inference(rat,[],[s74,s438]) ).
cnf(s586,plain,
~ spl98_13,
inference(rat,[],[s69,s450]) ).
cnf(s587,plain,
~ spl98_12,
inference(rat,[],[s62,s436]) ).
cnf(s588,plain,
~ spl98_11,
inference(rat,[],[s58,s445]) ).
cnf(s589,plain,
~ spl98_10,
inference(rat,[],[s50,s429]) ).
cnf(s590,plain,
~ spl98_9,
inference(rat,[],[s45,s429]) ).
cnf(s591,plain,
~ spl98_8,
inference(rat,[],[s42,s431]) ).
cnf(s592,plain,
~ spl98_7,
inference(rat,[],[s36,s434]) ).
cnf(s593,plain,
~ spl98_6,
inference(rat,[],[s31,s430]) ).
cnf(s594,plain,
~ spl98_5,
inference(rat,[],[s28,s444]) ).
cnf(s595,plain,
~ spl98_4,
inference(rat,[],[s23,s432]) ).
cnf(s596,plain,
~ spl98_3,
inference(rat,[],[s17,s439]) ).
cnf(s597,plain,
~ spl98_2,
inference(rat,[],[s14,s433]) ).
cnf(s598,plain,
~ spl98_1,
inference(rat,[],[s9,s449]) ).
cnf(s599,plain,
( spl98_85
| spl98_91
| spl98_97
| spl98_103 ),
inference(rat,[],[s4,s492,s493,s453,s506,s507,s508,s509,s510,s511,s512,s513,s514,s515,s516,s517,s518,s519,s520,s521,s522,s523,s524,s525,s526,s527,s528,s529,s530,s531,s532,s533,s534,s535,s536,s537,s538,s539,s540,s541,s542,s543,s544,s545,s546,s547,s548,s452,s448,s451,s443,s450,s438,s449,s433,s259,s549,s550,s551,s552,s553,s554,s555,s556,s557,s558,s559,s560,s561,s562,s563,s564,s565,s566,s567,s568,s569,s570,s571,s572,s573,s574,s575,s576,s577,s578,s579,s580,s581,s582,s583,s584,s585,s586,s587,s588,s589,s590,s591,s592,s593,s594,s595,s596,s597,s598]) ).
cnf(s603,plain,
~ spl98_103,
inference(rat,[],[s421,s422]) ).
cnf(s604,plain,
~ spl98_97,
inference(rat,[],[s409,s410]) ).
cnf(s605,plain,
~ spl98_91,
inference(rat,[],[s397,s398]) ).
cnf(s606,plain,
spl98_85,
inference(rat,[],[s599,s603,s604,s605]) ).
cnf(s607,plain,
spl98_112,
inference(rat,[],[s386,s606]) ).
cnf(s608,plain,
$false,
inference(rat,[],[s385,s607,s606]) ).
fof(f2385,plain,
$false,
inference(avatar_sat_refutation,[],[s608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG091+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:25:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 % (2091010)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2091017)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=872824069:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (2091016)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2091015)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=960704496_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (2091016)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=497032853:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (2091020)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=204772727:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (2091018)dis+10_1_sil=32000:sp=arity:random_seed=3704237230:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (2091019)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1217122541:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (2091021)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1060110083:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (2091018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2091010-2091018"...
% 0.20/0.29 % (2091021) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2091010-2091021"...
% 0.20/0.29 % (2091016) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2091010-2091016"...
% 0.20/0.29 % (2091020) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2091010-2091020"...
% 0.20/0.29 % (2091018)...printing done.
% 0.20/0.29 % (2091018)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (2091018)------------------------------
% 0.20/0.31 % (2091018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (2091018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (2091018)CaDiCaL version: 2.1.3
% 0.20/0.31 % (2091018)Termination reason: Refutation
% 0.20/0.31 % (2091018)Time elapsed: 0.031 s
% 0.20/0.31 % (2091018)Peak memory usage: 13 MB
% 0.20/0.31 % (2091018)Instructions burned: 62 (million)
% 0.20/0.31 % (2091010)Success in time 0.073 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------